| Hadi Khatibzadeh†
Abstract: In the framework of CAT(0) spaces, we prove that the mean of iterations of an asymptotically nonexpansive mapping with nonempty fixed point set converges weakly to a fixed point. The result extends the similar previous result for nonexpansive mappings in CAT(0) spaces [13] and generalizes the results of [11] from Hilbert spaces to Hadamard spaces. Keywords: asymptotically nonexpansive, ergodic theorem, weak convergence, fixed point, CAT(0) space, Hadamard space. MSC: 47H25, 47J25, 40A05. DOI 10.56082/annalsarscimath.2026.2.95 †hkhatibzadeh@znu.ac.ir, Department of Mathematics, University of Zanjan, Zanjan, Iran |
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application,
ISSN ONLINE 2066 – 6594
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